Let a function `f(x)` satisfies `f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot` Then find the value of `f(0)dot`

Let a function f(x)s a t i sfi e sf(x)+f(2x)+f(2-x)+f(1+x)=AAx in Rdot Then find the value of f(0)dot

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

Let f be a function satisfying the functional rule 2f(x)+f(1-x)=xAAx in Rdot Then the value of f(1)+f(2)+f(3) is

Let f(x) be a function satisfying f(x) + f(x+2) = 10 AA x in R , then

If f: RvecR is a function satisfying the property f(2x+3)+f(2x+7)=2AAx in R , then find the fundamental period of f(x)dot

Let f : W-> W be a given function satisfying f(x) = f(x-1)+f(x-2) for x<=2 .If f(0)=0 and f(1)=1 , ther find the value of f(2) + f(3) + f(4) + f(5) + f(6) .

Let the function f satisfies f(x).f ′ (−x)=f(−x).f ′ (x) for all x and f(0)=3 The value of f(x).f(-x) for all x is